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Finding the Fourth Proportional to 17,741.91, 24,484.19 and 11,465.22

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Solution

The fourth proportional to 17,741.91, 24,484.19 and 11,465.22 is: 15,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741.91 : 24,484.19 = 11,465.22 : x
  2. Step 2: Convert to fraction form
    17,741.91/24,484.19 = 11,465.22/x
  3. Step 3: Cross multiply
    17,741.91x = 24,484.19 × 11,465.22
  4. Step 4: Simplify right side
    17,741.91x = 280,716,475.73
  5. Step 5: Solve for x
    x = 280,716,475.73/17,741.91
  6. Step 6: Final answer
    x = 15,822.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.